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jekas [21]
3 years ago
8

Sally is making bouquets of flowers with the ratio of red to white flowers being 2:3. If Sally used 12 red flowers, how many whi

te flowers will she use?
Mathematics
1 answer:
alexandr402 [8]3 years ago
8 0

Answer:

18 white flowers

Step-by-step explanation:

We are given ratio:

Red : White

2 : 3

If Sally used 12 red flowers, how many white flowers will she use?

Let the number of white flowers Sally uses be represented by x

This is calculated as:

2/3 = 12/x

Cross Multiply

2 × x = 3 × 12

x = 3 × 12/2

x = 18 white flowers

Therefore, if Sally used 12 red flowers, the number of white flowers will she use is 18 white flowers.

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Makovka662 [10]

Answer:

  0.15 for each message

Step-by-step explanation:

The charge per message can be found by dividing the charge by the number of messages. Using the first line of the table, we get ...

  charge per message = (total charge)/(number of messages) = $38.40/256

  charge per message = $0.15

Alyssa is charged 0.15 for each text message.

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We can check other lines of the table to see if charges are really proportional:

  $26.55/177 = $0.15

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6 0
3 years ago
Refer to the accompanying TI-83/84 Plus calculator display of a 95% confidence interval. The sample display results from using a
nikklg [1K]

Answer:

The confidence interval is 22.805

Step-by-step explanation:

We have given,

The Z interval (23.305,25.075)  

Mean \bar{x}=23.69

Sample n=30

To find : The confidence interval?

Solution :

We know, The confidence interval is in the format of

\bar{x}-E

E denotes the margin of error,

E=\frac{U-L}{2}

Where, U is the upper limit U=25.075

L is the lower limit L=23.305

E=\frac{25.075-23.305}{2}

E=\frac{1.77}{2}

E=0.885

Substitute the value of E and \bar{x} in the formula,

23.69-0.885

22.805

Therefore, The confidence interval is 22.805

8 0
3 years ago
A . What is the slope in the line of the graph ?
vampirchik [111]

Answer:

0.2x+3

Step-by-step explanation:

5 0
3 years ago
What is the equation of a horizontal line that passes through the point (-3, 4)?
Alex_Xolod [135]

Answer: C

Step-by-step explanation:

Since the points are ( -3,4 ) it passes through 4 in the y axis.

Meaning it will pass through 4 which is C.

3 0
2 years ago
Read 2 more answers
Find the values of k so that each remainder is three. <br> 10. (x^2+ 5x + 7) = (x + k)
Goryan [66]

Answer:

k=1\text{ or } k=4

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).

We are dividing:

(x^2+5x+7)\div(x+k)

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

(-k)^2+5(-k)+7=3

Simplify:

k^2-5k+7=3

Solve for <em>k</em>. Subtract 3 from both sides:

k^2-5k+4=0

Factor:

(k-1)(k-4)=0

Zero Product Property:

k-1=0\text{ or } k-4=0

Solve:

k=1\text{ or } k=4

So, either of the two expressions:

(x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)

Will yield 3 as the remainder.

5 0
3 years ago
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